4084385760 has 576 divisors, whose sum is σ = 17435658240. Its totient is φ = 847687680.

The previous prime is 4084385741. The next prime is 4084385771. The reversal of 4084385760 is 675834804.

4084385760 is a `hidden beast` number, since 40 + 8 + 4 + 38 + 576 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9303621 + ... + 9304059.

It is an arithmetic number, because the mean of its divisors is an integer number (30270240).

Almost surely, 2^4084385760 is an apocalyptic number.

4084385760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4084385760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8717829120).

4084385760 is an abundant number, since it is smaller than the sum of its proper divisors (13351272480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4084385760 is a wasteful number, since it uses less digits than its factorization.

4084385760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4084385760 is about 63909.1993378105. The cubic root of 4084385760 is about 1598.4862975588.

The spelling of 4084385760 in words is "four billion, eighty-four million, three hundred eighty-five thousand, seven hundred sixty".